How to manipulate individual median points in edit mode?
From what I can tell from your rather unclear question, what you are looking for is the pivot point menu.
Select individual origins after selecting your faces, then you will be able to scale the faces around their center pivot point.

Like this:

Select Individual Origins



Using the default Median Point method
(scales around the net center of all selected faces)



Using the Individual Origins method
(scales around the individual faces origins)



If this is not what you were looking for, please let me know.